Question

Brett built a scale model boat. The scale used was 1/2 inch to 4 1/2 feet. If the actual boat length is 36 feet, what is the length of the scale boat?

A. 2 inches
B. 4 inches
C. 6 inches
D. 9 inches

Answer 1

To calculate the length of Brett's scale model boat, convert the actual boat length into inches and set up a proportion with the given scale. Solving the proportion shows that the model boat should be 4 inches long.

Step-by-step explanation:

The subject of the question involves scale modeling, where the scale factor is the ratio of the model's dimensions to the actual object's dimensions. To find the length of Brett's scale model boat, we have to use the given scale ratio. The scale given is 1/2 inch for every 4 1/2 feet.

Step-by-step calculation:

1. Convert the feet into inches by noting that 1 foot equals 12 inches, so 4 1/2 feet equals 54 inches.
2. Since the actual boat is 36 feet long, we first convert it into inches: 36 feet x 12 inches/foot = 432 inches.
3. Now, set up the proportion using the scale: (1/2 inch / 54 inches = x inches / 432 inches).
4. To find 'x', the length of the scale model, cross-multiply and solve for 'x': x = (1/2 inch * 432 inches) / 54 inches = 4 inches.

So, Brett's scale model boat should be 4 inches long.